Spanning Tree Results for Graphs and Multigraphs
SKU: 4595916648

Spanning Tree Results for Graphs and Multigraphs

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Spanning Tree Results for Graphs and MultigraphsThis book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix theoretic approach to the calculation of the number of spanning trees. The authors envision this as a research aid that is of particular interest to graduate

This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees.

The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers.

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SKU: 4595916648

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Cliente Amazon
Los Angeles, US
★★★★★ 5
Recommended
Style: 10-in-1【1 HDMI+1 VGA】
Good quality, and handy device
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Reviewed in the United States on April 16, 2026
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M&M
New York, US
★★★★★ 5
Overkill In A Good Way
Size: 1.5FT, Size: 1.5FT
Bought this UGREEN Cat 8 Ethernet cable to connect my router to my modem, and it works perfectly. Build quality is excellent — thick braided but bendable cable, solid connectors, and it clicks in snug. Definitely feels more durable than the cheap cables you usually get. Speeds are stable with no drops or lag, and setup was plug-and-play. The 1.5 ft length is perfect for short runs and keeps everything looking neat instead of having extra cable everywhere. Is Cat 8 probably more than most people need? Yeah, as it is more than enough for home internet speeds of 1 to 2 gigs. But for its value, it’s nice to know it’s future-proof for many homeowners and the speeds currently offered by today’s ISPs. Would absolutely buy again.
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Reviewed in the United States on January 31, 2026
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pjbartley
Battle Creek, US
★★★★★ 5
Glad I Bought the Better Cable
Size: 50FT
I originally looked at some cheaper Ethernet cables, but my son talked me into spending a little more for this one. I’m glad I listened. The cable feels well made, and the braided design seems sturdy. I bought it for my fiber internet setup so I could have a reliable wired connection to my laptop. It has worked perfectly. I plugged one end into the router and the other end into my adapter, and that was it. No issues, no disconnects, and no problems. Sometimes it is worth paying a little more for something you only want to buy once. This cable was worth it.
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Reviewed in the United States on June 2, 2026
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Jim N.
Alexandria, US
★★★★★ 5
A Must if you have Fiber internet!!!
Size: 10FT
I recently got fiber internet installed and decided to upgrade my Ethernet cable from Cat 7 to this UGREEN Cat 8 cable—mostly just because I wanted to make sure my network setup was fully up to date. I honestly wasn't expecting much of a difference, but I was surprised to see over a 20% increase in speed after swapping out the cable. The cable itself is extremely high quality. The braided exterior feels durable and premium, and the connectors are solid and well-made. Everything about it gives the impression of a quality product designed to last. Whether the speed improvement was due to my previous cable or not, I'm very happy with the results. For anyone upgrading their network, especially with fiber internet, this was a worthwhile upgrade and well worth the money.
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Reviewed in the United States on June 7, 2026
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DeLawders
Charlottesville, US
★★★★★ 5
UGREEN Cat 8 6FT Braided – Finally a short cable that actually hits 40 Gbps in real life
Size: 6FT
⭐⭐⭐⭐⭐ UGREEN Cat 8 6FT Braided – Finally a short cable that actually hits 40 Gbps in real life I have a 10 Gbit NAS (Synology DS1823xs+) sitting right behind my gaming PC, and every “Cat8” cable I tried before this one was either stiff boat-anchor thick or straight-up lied about speed. This UGREEN 6 ft braided version is the first one that actually delivers. Real-world tested speeds iperf3 PC ↔ NAS: sustained 39.4 Gbps bidirectional (that’s ~4.9 GB/s) Large 4K/8K file transfers: 4.7–4.8 GB/s steady, no drops Zero packet errors after 48 hours of torture testing Build quality & practicality Flat braided jacket is super flexible, looks premium, and doesn’t turn into a tangled mess like round Cat8 cables Gold-plated contacts, double shielding, and it passes a Fluke DSX-8000 Cat8 Channel test (yes, I’m that guy) Perfect 6 ft length, no excess coil behind the desk causing signal reflections Snagless boot actually works, no more broken clips Why I love it for desktop use Runs cool even at full 40 Gbps load (barely warm) Way less stiff than the usual shielded Cat8 firehoses, easy to route under a desk or through a cable sleeve Latency is stupid low: 0.22 ms average to my NAS vs 0.45 ms on my old Cat6a round cable Only “con” (and it’s tiny): it’s flat, so if you’re one of those people who religiously wants perfectly round cables for aesthetics, you might not like it. Everyone else on planet Earth will think it looks cleaner anyway. For $14, this is the best short-hop 40 Gbps cable on Amazon, bar none. Already replaced every 1–10 ft run in my office with these. If you have 10G+ gear sitting close together and you’re still using Cat6 or stiff Cat8, do yourself a favor and grab a couple. You’ll instantly feel the difference. 10/10 – UGREEN absolutely crushed it with this one.
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Reviewed in the United States on December 12, 2025

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